Exam P topic · 23–30% syllabus weight

General Probability

Independently written solutions mapped to this official syllabus topic. Pages appear only after all required checks agree.

Topic orientation

What this topic tests

General Probability connects event algebra, conditional probability, independence, counting, and Bayes’ theorem. The main work is usually translating a verbal experiment into events whose intersections and complements can be calculated cleanly.

Exam questions often hide the decisive denominator or conditioning event inside the setup. A strong solution names the event first, checks that the pieces form a valid probability model, and only then substitutes numbers.

Typical failure modes

  • Using an unconditional probability where a conditional denominator is required
  • Treating mutually exclusive events as independent
  • Forgetting a complement or double-counting overlapping cases

Published ledger

Verified solutions

Each entry shows its independent calculation record and links to the official source without reproducing protected wording.

  1. SOA Exam P Sample Question #590General Probability · Geometric Distribution · IndependenceVerified
  2. SOA Exam P Sample Question #594General Probability · Sampling Without Replacement · Hypergeometric DistributionVerified
  3. SOA Exam P Sample Question #602General Probability · Discrete Random Variables · Cumulative Probabilities · Probability RatiosVerified
  4. SOA Exam P Sample Question #603General Probability · Bayes' Theorem · Poisson Distribution · Mixture DistributionsVerified
  5. SOA Exam P Sample Question #605General Probability · Bayes' Theorem · Exponential Distribution · Mixture DistributionsVerified
  6. SOA Exam P Sample Question #607General Probability · Disjoint Events · Interval ProbabilitiesVerified
  7. SOA Exam P Sample Question #620General Probability · Independence · Sums of Independent Random VariablesVerified
  8. SOA Exam P Sample Question #640General Probability · Conditional Probability · Binomial DistributionVerified
  9. SOA Exam P Sample Question #641General Probability · Conditional Probability · IndependenceVerified
  10. SOA Exam P Sample Question #644General Probability · Conditional Probability · Combinatorial Probability · ExchangeabilityVerified
  11. SOA Exam P Sample Question #645General Probability · Conditional Probability · Independence · Combinatorial ProbabilityVerified
  12. SOA Exam P Sample Question #646General Probability · Complement Rule · IndependenceVerified
  13. SOA Exam P Sample Question #647General Probability · Law of Total Probability · Mixture DistributionsVerified
  14. SOA Exam P Sample Question #653General Probability · Independence · Complement RuleVerified
  15. SOA Exam P Sample Question #657General Probability · Inclusion–Exclusion · Probability BoundsVerified
  16. SOA Exam P Sample Question #658General Probability · Conditional Probability · Inclusion–ExclusionVerified
  17. SOA Exam P Sample Question #663General Probability · Conditional Probability · Normal Distribution · StandardizationVerified
  18. SOA Exam P Sample Question #682General Probability · Conditional Probability · Binomial DistributionVerified
  19. SOA Exam P Sample Question #683General Probability · Conditional Probability · Inclusion–ExclusionVerified
  20. SOA Exam P Sample Question #685General Probability · Conditional Probability · IndependenceVerified
  21. SOA Exam P Sample Question #688General Probability · Counting Methods · Sampling Without ReplacementVerified
  22. SOA Exam P Sample Question #691General Probability · Set Probability · Complements · Mutually Exclusive EventsVerified
  23. SOA Exam P Sample Question #694General Probability · Hypergeometric Distribution · Sampling Without ReplacementVerified
  24. SOA Exam P Sample Question #699General Probability · Bayes' Theorem · Poisson DistributionVerified
  25. SOA Exam P Sample Question #701General Probability · Discrete Random Variables · Geometric SeriesVerified
  26. SOA Exam P Sample Question #723General Probability · Law of Total Probability · Mixture ProbabilitiesVerified
  27. SOA Exam P Sample Question #733General Probability · Conditional Probability · Set ProbabilityVerified